Teichmüller子空间T_O不是星形的

The Teichmüller Space T_O Is Not Starlike

构造了一个拟共形映照,其复特征μ满足[μ]=[0],但是当t(t>0)充分小时,[tμ]不属于Teichmüller子空间T_O,从而说明T_O空间不是星形的.

This paper constructs an example of the Teichmǖller space T0 shows that there exists a quasiconformal mapping on a Jordan domain S with complex dilatation μ satisfying [μ] = [0], but [tμ] （t 〉 0） is not in To when t is small enough. So the Teichmǖller space To is not starlike.